According to Theorem 1 in [1]}, there are 4 properties which hold with “overwhelming probability” for each consensus round \(r \ge 0\) . Property 1 states that “all honest users agree on the same block \(B^{r}\) , and all payments in \(B^{r}\)  are valid” [1]}. In the case where the honest users have the reputation values list, the values in the list get generated from the blockchain transactions data, which is the same across the network. Also, the reputation values are generated and updated at regular intervals based on previous data, and their generation is not linked to the communication in block consensus rounds. All the honest users follow the methodology according to equation REF  and agree on the same block.
